{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QAOOWSW3XZVUZUY3AVGUPWE2DJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c9452020b1ac8db31998b3e6f339072ac66920c2b8d1671f8f513d9c3d1f8a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-14T21:30:12Z","title_canon_sha256":"6cfc6e53b4d8eed693d8bc3f2784c68cdd8f221da4a79087fcfe367a0ac15ce9"},"schema_version":"1.0","source":{"id":"1702.04397","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04397","created_at":"2026-05-18T00:16:09Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04397v2","created_at":"2026-05-18T00:16:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04397","created_at":"2026-05-18T00:16:09Z"},{"alias_kind":"pith_short_12","alias_value":"QAOOWSW3XZVU","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QAOOWSW3XZVUZUY3","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QAOOWSW3","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:68570629f6f0b9307e98ed53d5eee9d82c7e83c77ac8ee9356df554fc2435350","target":"graph","created_at":"2026-05-18T00:16:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show an alternative construction of the cosimplicial free complete diferential graded Lie algebra $\\mathfrak{L}_\\bullet=\\widehat{\\mathbb{L}}(s^{-1}\\Delta^\\bullet)$ based on a new Lie bracket formulae for Lie polynomials on a general tensor algebra. Based on it,we prove that for any complete differential graded Lie algebra $L$, its geometrical realization $\\langle L\\rangle=\\text{Hom}_{\\text{cdgl}}(\\mathfrak{L}_\\bullet,L)$ is isomorphic to its nerve $\\gamma_\\bullet(L)$, a deformation retract of the Getzler-Hinich realization $\\text{MC}(\\mathscr{A}_\\bullet\\widehat{\\otimes} L)$.","authors_text":"Aniceto Murillo, Daniel Tanr\\'e, Urtzi Buijs, Yves F\\'elix","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-14T21:30:12Z","title":"The infinity Quillen functor, Maurer-Cartan elements and DGL realizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04397","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:397c17168438dae11f32cfe857e15f41c0e13749d02a4b558bbe8be539e953ce","target":"record","created_at":"2026-05-18T00:16:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c9452020b1ac8db31998b3e6f339072ac66920c2b8d1671f8f513d9c3d1f8a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-14T21:30:12Z","title_canon_sha256":"6cfc6e53b4d8eed693d8bc3f2784c68cdd8f221da4a79087fcfe367a0ac15ce9"},"schema_version":"1.0","source":{"id":"1702.04397","kind":"arxiv","version":2}},"canonical_sha256":"801ceb4adbbe6b4cd31b054d47d89a1a430fbb3c7d73d6039c8973e71f34a28d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"801ceb4adbbe6b4cd31b054d47d89a1a430fbb3c7d73d6039c8973e71f34a28d","first_computed_at":"2026-05-18T00:16:09.312835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:09.312835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4ZX7h4FnelQNHkF/8kpXHUM9lVbdYs4Po7OgASoEikkH/LOth5+hCeFgKNepxzGnibpejpnrlYEChAvZp5EyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:09.313554Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04397","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:397c17168438dae11f32cfe857e15f41c0e13749d02a4b558bbe8be539e953ce","sha256:68570629f6f0b9307e98ed53d5eee9d82c7e83c77ac8ee9356df554fc2435350"],"state_sha256":"9001a03d498b1866d26c322c1f8b7de3dc480c35f8749871d93321167c9f7a35"}